The cost of operating the Maintenance Department is to be allocated to four production departments based on the floor space each occupies. Department A occupies $600$ m squared$$; Department$$ B$,500$ m squared$$; Department$$ C$,700$ m squared$$; and Department$$ D$,400$ m squared. If the July cost was $$$$19$ comma $800,$ how much of the cost of operating the Maintenance Department should be allocated to each production$$ department?

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Part $1$

The operating cost for Department A is $$$

$$

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$($Simplify your$$ answer.$)$

Part $2$

The operating cost for Department B is $$$

$$

enter your response here.

$($Simplify your$$ answer.$)$

Part $3$

The operating cost for Department C is $$$

$$

enter your response here.

$($Simplify your$$ answer.$)$

Part $4$

The operating cost for Department D is $$$

$$

enter your response here.